SUPPORT THEOREM FOR PINNED DIFFUSION PROCESSES

Pub Date : 2022-11-10 DOI:10.1017/nmj.2023.25
Y. Inahama
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Abstract

In this paper, we prove a support theorem of Stroock–Varadhan type for pinned diffusion processes. To this end, we use two powerful results from stochastic analysis. One is quasi-sure analysis for Brownian rough path. The other is Aida–Kusuoka–Stroock’s positivity theorem for the densities of weighted laws of non-degenerate Wiener functionals.
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钉扎扩散过程的支持定理
本文证明了钉住扩散过程的Stroock-Varadhan型支持定理。为此,我们使用随机分析的两个强有力的结果。一是布朗粗糙路径的准确定分析。另一个是Aida-Kusuoka-Stroock关于非简并Wiener泛函加权律密度的正性定理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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